Greatest Common Factor of 944/288, 9503/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 944/288, 9503/780

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 944/288,9503/780

Given fractions are 944/288,9503/780

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 944,9503

Greatest Common Factor of Numerators i.e. GCF of 944,9503 is 1 .

LCM of Denominators means LCM of 288,780 as per the given fractions.

LCM of 288,780 is 18720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 944,9503

GCF of Fractions 944/288,9503/780 is 1/18720

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 944,9503 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,9503 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 9503

List of positive integer factors of 9503 that divides 9503 without a remainder.

1,13,17,43,221,559,731,9503

Greatest Common Factor

We found the factors 944,9503 . The biggest common factor number is the GCF number.
So the greatest common factor 944,9503 is 1.

Lets's calculate LCM of 288,780

2 288, 780
2 144, 390
3 72, 195
24, 65

∴ So the LCM of the given numbers is 2 x 2 x 3 x 24 x 65 = 18720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18720

Therefore, the GCF of Fractions 944/288,9503/780 is 1/18720

Least Common Multiple of 288,780 with GCF Formula

Least Common Multiple of 288,780 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 288,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,780) = 12

common factors(in case of two or more numbers have common factors) = 1

GCF(288,780) x common factors =12 x 1 = 12

LCM(288,780) = ( 288 × 780 ) / 12

LCM(288,780) = 224640 / 12

LCM(288,780) = 18720


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 944/288, 9503/780

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 944/288, 9503/780?

Answer: GCF of Numerators as per given numbers 944/288, 9503/780 is

GCF of Numerators i.e. for 944,9503 is 1

LCM of denominators i.e. for 288,780 is 18720.

Thus, GCF of Fractions is 1/18720.Finally, GCF of Fractions for 944/288, 9503/780 is 1/18720.